TSTP Solution File: SEU361+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU361+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:06:25 EDT 2023
% Result : Theorem 17.73s 3.18s
% Output : CNFRefutation 17.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 14 unt; 0 def)
% Number of atoms : 358 ( 29 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 469 ( 178 ~; 159 |; 95 &)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 132 ( 1 sgn; 93 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0] :
( rel_str(X0)
=> bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_yellow_0) ).
fof(f161,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X1)
=> ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f185,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f574,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f605,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ex_inf_of_relstr_set(X0,the_carrier(X0))
& ex_sup_of_relstr_set(X0,empty_set) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_yellow_0) ).
fof(f610,conjecture,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f611,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
inference(negated_conjecture,[],[f610]) ).
fof(f660,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f728,plain,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X4)
=> related(X0,X1,X4) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
inference(rectify,[],[f574]) ).
fof(f825,plain,
! [X0] :
( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f950,plain,
! [X0] :
( ! [X1,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f951,plain,
! [X0] :
( ! [X1,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f950]) ).
fof(f968,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f185]) ).
fof(f1423,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( ( ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f728]) ).
fof(f1424,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( ( ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f1423]) ).
fof(f1451,plain,
! [X0] :
( ( ex_inf_of_relstr_set(X0,the_carrier(X0))
& ex_sup_of_relstr_set(X0,empty_set) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f605]) ).
fof(f1452,plain,
! [X0] :
( ( ex_inf_of_relstr_set(X0,the_carrier(X0))
& ex_sup_of_relstr_set(X0,empty_set) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1451]) ).
fof(f1458,plain,
? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f611]) ).
fof(f1459,plain,
? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f1458]) ).
fof(f1529,plain,
! [X0] :
( ! [X1] :
( ( relstr_element_smaller(X0,empty_set,X1)
& relstr_set_smaller(X0,empty_set,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f660]) ).
fof(f2004,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f951]) ).
fof(f2005,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f2004]) ).
fof(f2006,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f2005]) ).
fof(f2007,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK180(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK180(X0,X1,X2))
& element(sK180(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f2008,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ( ~ related(X0,X2,sK180(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK180(X0,X1,X2))
& element(sK180(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK180])],[f2006,f2007]) ).
fof(f2631,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X1,X3)
& relstr_set_smaller(X0,X2,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X1,sK501(X0,X1,X2))
& relstr_set_smaller(X0,X2,sK501(X0,X1,X2))
& element(sK501(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f2632,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ( ~ related(X0,X1,sK501(X0,X1,X2))
& relstr_set_smaller(X0,X2,sK501(X0,X1,X2))
& element(sK501(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ( ( ! [X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK501])],[f1424,f2631]) ).
fof(f2663,plain,
( ? [X0] :
( ? [X1] :
( ~ related(X0,bottom_of_relstr(X0),X1)
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ~ related(sK509,bottom_of_relstr(sK509),X1)
& element(X1,the_carrier(sK509)) )
& rel_str(sK509)
& lower_bounded_relstr(sK509)
& antisymmetric_relstr(sK509)
& ~ empty_carrier(sK509) ) ),
introduced(choice_axiom,[]) ).
fof(f2664,plain,
( ? [X1] :
( ~ related(sK509,bottom_of_relstr(sK509),X1)
& element(X1,the_carrier(sK509)) )
=> ( ~ related(sK509,bottom_of_relstr(sK509),sK510)
& element(sK510,the_carrier(sK509)) ) ),
introduced(choice_axiom,[]) ).
fof(f2665,plain,
( ~ related(sK509,bottom_of_relstr(sK509),sK510)
& element(sK510,the_carrier(sK509))
& rel_str(sK509)
& lower_bounded_relstr(sK509)
& antisymmetric_relstr(sK509)
& ~ empty_carrier(sK509) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK509,sK510])],[f1459,f2664,f2663]) ).
fof(f2829,plain,
! [X0] :
( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f825]) ).
fof(f3267,plain,
! [X2,X0,X1,X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| join_on_relstr(X0,X1) != X2
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2008]) ).
fof(f3286,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f968]) ).
fof(f4427,plain,
! [X2,X0,X1,X4] :
( related(X0,X1,X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f2632]) ).
fof(f4489,plain,
! [X0] :
( ex_sup_of_relstr_set(X0,empty_set)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1452]) ).
fof(f4498,plain,
~ empty_carrier(sK509),
inference(cnf_transformation,[],[f2665]) ).
fof(f4499,plain,
antisymmetric_relstr(sK509),
inference(cnf_transformation,[],[f2665]) ).
fof(f4500,plain,
lower_bounded_relstr(sK509),
inference(cnf_transformation,[],[f2665]) ).
fof(f4501,plain,
rel_str(sK509),
inference(cnf_transformation,[],[f2665]) ).
fof(f4502,plain,
element(sK510,the_carrier(sK509)),
inference(cnf_transformation,[],[f2665]) ).
fof(f4503,plain,
~ related(sK509,bottom_of_relstr(sK509),sK510),
inference(cnf_transformation,[],[f2665]) ).
fof(f4590,plain,
! [X0,X1] :
( relstr_set_smaller(X0,empty_set,X1)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1529]) ).
fof(f5469,plain,
! [X0,X1,X4] :
( related(X0,join_on_relstr(X0,X1),X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f3267]) ).
fof(f5581,plain,
! [X2,X0,X4] :
( related(X0,join_on_relstr(X0,X2),X4)
| ~ relstr_set_smaller(X0,X2,X4)
| ~ element(X4,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X2)
| ~ element(join_on_relstr(X0,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(equality_resolution,[],[f4427]) ).
cnf(c_150,plain,
( ~ rel_str(X0)
| join_on_relstr(X0,empty_set) = bottom_of_relstr(X0) ),
inference(cnf_transformation,[],[f2829]) ).
cnf(c_588,plain,
( ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(cnf_transformation,[],[f5469]) ).
cnf(c_605,plain,
( ~ rel_str(X0)
| element(join_on_relstr(X0,X1),the_carrier(X0)) ),
inference(cnf_transformation,[],[f3286]) ).
cnf(c_1749,plain,
( ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(cnf_transformation,[],[f5581]) ).
cnf(c_1807,plain,
( ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ex_sup_of_relstr_set(X0,empty_set)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f4489]) ).
cnf(c_1815,negated_conjecture,
~ related(sK509,bottom_of_relstr(sK509),sK510),
inference(cnf_transformation,[],[f4503]) ).
cnf(c_1816,negated_conjecture,
element(sK510,the_carrier(sK509)),
inference(cnf_transformation,[],[f4502]) ).
cnf(c_1817,negated_conjecture,
rel_str(sK509),
inference(cnf_transformation,[],[f4501]) ).
cnf(c_1818,negated_conjecture,
lower_bounded_relstr(sK509),
inference(cnf_transformation,[],[f4500]) ).
cnf(c_1819,negated_conjecture,
antisymmetric_relstr(sK509),
inference(cnf_transformation,[],[f4499]) ).
cnf(c_1820,negated_conjecture,
~ empty_carrier(sK509),
inference(cnf_transformation,[],[f4498]) ).
cnf(c_1906,plain,
( ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| relstr_set_smaller(X1,empty_set,X0) ),
inference(cnf_transformation,[],[f4590]) ).
cnf(c_3378,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_588,c_605,c_588]) ).
cnf(c_3386,plain,
( ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_1749,c_3378]) ).
cnf(c_3387,plain,
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| related(X0,join_on_relstr(X0,X1),X2) ),
inference(renaming,[status(thm)],[c_3386]) ).
cnf(c_32051,plain,
( X0 != sK509
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ex_sup_of_relstr_set(X0,empty_set)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_1807,c_1818]) ).
cnf(c_32052,plain,
( ~ rel_str(sK509)
| ~ antisymmetric_relstr(sK509)
| ex_sup_of_relstr_set(sK509,empty_set)
| empty_carrier(sK509) ),
inference(unflattening,[status(thm)],[c_32051]) ).
cnf(c_62036,plain,
join_on_relstr(sK509,empty_set) = bottom_of_relstr(sK509),
inference(superposition,[status(thm)],[c_1817,c_150]) ).
cnf(c_62046,plain,
( ~ rel_str(sK509)
| relstr_set_smaller(sK509,empty_set,sK510) ),
inference(superposition,[status(thm)],[c_1816,c_1906]) ).
cnf(c_62164,plain,
( ~ element(X0,the_carrier(sK509))
| ~ relstr_set_smaller(sK509,empty_set,X0)
| ~ ex_sup_of_relstr_set(sK509,empty_set)
| ~ rel_str(sK509)
| related(sK509,bottom_of_relstr(sK509),X0) ),
inference(superposition,[status(thm)],[c_62036,c_3387]) ).
cnf(c_62523,plain,
( ~ element(X0,the_carrier(sK509))
| ~ relstr_set_smaller(sK509,empty_set,X0)
| related(sK509,bottom_of_relstr(sK509),X0) ),
inference(global_subsumption_just,[status(thm)],[c_62164,c_1819,c_1817,c_1820,c_32052,c_62164]) ).
cnf(c_62532,plain,
( ~ element(sK510,the_carrier(sK509))
| ~ relstr_set_smaller(sK509,empty_set,sK510) ),
inference(superposition,[status(thm)],[c_62523,c_1815]) ).
cnf(c_62535,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_62532,c_62046,c_1816,c_1817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU361+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 00:37:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.73/3.18 % SZS status Started for theBenchmark.p
% 17.73/3.18 % SZS status Theorem for theBenchmark.p
% 17.73/3.18
% 17.73/3.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.73/3.18
% 17.73/3.18 ------ iProver source info
% 17.73/3.18
% 17.73/3.18 git: date: 2023-05-31 18:12:56 +0000
% 17.73/3.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.73/3.18 git: non_committed_changes: false
% 17.73/3.18 git: last_make_outside_of_git: false
% 17.73/3.18
% 17.73/3.18 ------ Parsing...
% 17.73/3.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.73/3.18
% 17.73/3.18 ------ Preprocessing... sup_sim: 109 sf_s rm: 96 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e
% 17.73/3.18
% 17.73/3.18 ------ Preprocessing... gs_s sp: 18 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.73/3.18
% 17.73/3.18 ------ Preprocessing... sf_s rm: 5 0s sf_e
% 17.73/3.18 ------ Proving...
% 17.73/3.18 ------ Problem Properties
% 17.73/3.18
% 17.73/3.18
% 17.73/3.18 clauses 1661
% 17.73/3.18 conjectures 6
% 17.73/3.18 EPR 224
% 17.73/3.18 Horn 1138
% 17.73/3.18 unary 200
% 17.73/3.18 binary 408
% 17.73/3.18 lits 5528
% 17.73/3.18 lits eq 669
% 17.73/3.18 fd_pure 0
% 17.73/3.18 fd_pseudo 0
% 17.73/3.18 fd_cond 51
% 17.73/3.18 fd_pseudo_cond 147
% 17.73/3.18 AC symbols 0
% 17.73/3.18
% 17.73/3.18 ------ Input Options Time Limit: Unbounded
% 17.73/3.18
% 17.73/3.18
% 17.73/3.18 ------
% 17.73/3.18 Current options:
% 17.73/3.18 ------
% 17.73/3.18
% 17.73/3.18
% 17.73/3.18
% 17.73/3.18
% 17.73/3.18 ------ Proving...
% 17.73/3.18
% 17.73/3.18
% 17.73/3.18 ------ Proving...
% 17.73/3.18
% 17.73/3.18
% 17.73/3.18 % SZS status Theorem for theBenchmark.p
% 17.73/3.18
% 17.73/3.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.73/3.19
% 17.73/3.19
%------------------------------------------------------------------------------